Active Learning Lecture Slides For use with Classroom

Active Learning Lecture Slides For use with Classroom Response Systems Chapter 8: Hypothesis Testing Elementary Statistics Eleventh Edition and the Triola Statistics Series by Mario F. Triola Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. 1

A researcher claims that 62% of voters favor gun control. Identify the null hypothesis H 0 and the alternative hypothesis H 1. A. H 0: p < 0. 62, H 1: p ≥ 0. 62 B. H 0: p = 0. 62, H 1: p = 0. 62 C. H 0: p = 0. 62, H 1: p = 0. 62 D. H 0: p ≥ 0. 62, H 1: p < 0. 62 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. 2

A researcher claims that 62% of voters favor gun control. Identify the null hypothesis H 0 and the alternative hypothesis H 1. A. H 0: p < 0. 62, H 1: p ≥ 0. 62 B. H 0: p = 0. 62, H 1: p = 0. 62 C. H 0: p = 0. 62, H 1: p = 0. 62 D. H 0: p ≥ 0. 62, H 1: p < 0. 62 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. 3

Assume that the data have a normal distribution and the number of observations is greater than 50. Using α = 0. 05 for a left-tailed test, find the critical z value used to test the null hypothesis. A. – 1. 645 B. +/– 1. 96 C. +/– 1. 645 D. – 1. 96 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. 4

Assume that the data have a normal distribution and the number of observations is greater than 50. Using α = 0. 05 for a left-tailed test, find the critical z value used to test the null hypothesis. A. – 1. 645 B. +/– 1. 96 C. +/– 1. 645 D. – 1. 96 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. 5

Carter Motor Company claims that its new sedan, the Libra, will average better than 30 miles per gallon in the city. Identify the type I error of the test. A. The error of failing to reject the hypothesis that the mean is 30 miles per gallon when it is actually greater than 30 miles per gallon. B. The error of rejecting the hypothesis that the mean is 30 miles per gallon when it really is 30 miles per gallon. C. The error of rejecting the hypothesis that the mean is more than 30 miles per gallon when it really is more than 30 miles per gallon. Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. 6

Carter Motor Company claims that its new sedan, the Libra, will average better than 30 miles per gallon in the city. Identify the type I error of the test. A. The error of failing to reject the hypothesis that the mean is 30 miles per gallon when it is actually greater than 30 miles per gallon. B. The error of rejecting the hypothesis that the mean is 30 miles per gallon when it really is 30 miles per gallon. C. The error of rejecting the hypothesis that the mean is more than 30 miles per gallon when it really is more than 30 miles per gallon. Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. 7

A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 students, 32% of them plan to go into general practice. Find the Pvalue for a test of the school’s claim. A. 0. 1539 B. 0. 1635 C. 0. 3078 D. 0. 3461 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. 8

A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 students, 32% of them plan to go into general practice. Find the Pvalue for a test of the school’s claim. A. 0. 1539 B. 0. 1635 C. 0. 3078 D. 0. 3461 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. 9

Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution or neither. The sample data appear to come from a normally distributed population with σ = 28. Claim: μ = 977. Sample data: n = 25, x = 984, s = 25. A. Student t B. Neither C. Normal Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. 10

Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution or neither. The sample data appear to come from a normally distributed population with σ = 28. Claim: μ = 977. Sample data: n = 25, x = 984, s = 25. A. Student t B. Neither C. Normal Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. 11

Find the critical value or values of χ2 based on the given information. H 1: σ > 26. 1, n = 9, α = 0. 01 A. 20. 090 B. 21. 666 C. 1. 646 D. 2. 088 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. 12

Find the critical value or values of χ2 based on the given information. H 1: σ > 26. 1, n = 9, α = 0. 01 A. 20. 090 B. 21. 666 C. 1. 646 D. 2. 088 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. 13